3(3a+25)-2(a-1)=78

Solution for 3(3a+25)-2(a-1)=78 equation:

Simplifying
3(3a + 25) + -2(a + -1) = 78

Reorder the terms:
3(25 + 3a) + -2(a + -1) = 78
(25 * 3 + 3a * 3) + -2(a + -1) = 78
(75 + 9a) + -2(a + -1) = 78

Reorder the terms:
75 + 9a + -2(-1 + a) = 78
75 + 9a + (-1 * -2 + a * -2) = 78
75 + 9a + (2 + -2a) = 78

Reorder the terms:
75 + 2 + 9a + -2a = 78

Combine like terms: 75 + 2 = 77
77 + 9a + -2a = 78

Combine like terms: 9a + -2a = 7a
77 + 7a = 78

Solving
77 + 7a = 78

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-77' to each side of the equation.
77 + -77 + 7a = 78 + -77

Combine like terms: 77 + -77 = 0
0 + 7a = 78 + -77
7a = 78 + -77

Combine like terms: 78 + -77 = 1
7a = 1

Divide each side by '7'.
a = 0.1428571429

Simplifying
a = 0.1428571429